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*The author of this computation has been verified*
R Software Module: /skewkurt.wasp (opens new window with default values)
Title produced by software: Skewness and Kurtosis
Date of computation: Thu, 25 Nov 2010 18:29:18 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/25/t1290709667e7dk3z025d4589i.htm/, Retrieved Thu, 25 Nov 2010 19:27:47 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/25/t1290709667e7dk3z025d4589i.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
1,3898 31,077 1,3067 31,293 1,2894 30,236 1,277 30,160 1,2208 32,436 1,2565 30,695 1,3406 27,525 1,3569 26,434 1,3686 25,739 1,4272 25,204 1,4614 24,977 1,4914 24,320 1,4816 22,680 1,4562 22,052 1,4268 21,467 1,4088 21,383 1,4016 21,777 1,365 21,928 1,319 21,814 1,305 22,937 1,2785 23,595 1,3239 20,830 1,3449 19,650 1,2732 19,195 1,3322 19,644 1,4369 18,483 1,4975 18,079 1,577 19,178 1,5553 18,391 1,5557 18,441 1,575 18,584 1,5527 20,108 1,4748 20,148 1,4718 19,394 1,457 17,745 1,4684 17,696 1,4227 17,032 1,3896 16,438 1,3622 15,683 1,3716 15,594 1,3419 15,713 1,3511 15,937 1,3516 16,171 1,3242 15,928 1,3074 16,348 1,2999 15,579 1,3213 15,305 1,2881 15,648 1,2611 14,954 1,2727 15,137 1,2811 15,839 1,2684 16,050 1,265 15,168 1,277 17,064 1,2271 16,005 1,202 14,886 1,1938 14,931 1,2103 14,544 1,1856 13,812 1,1786 13,031 1,2015 12,574 1,2256 11,964 1,2292 11,451 1,2037 11,346 1,2165 11,353 1,2694 10,702 1,2938 10,646 1,3201 10,556 1,3014 10,463 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.002825FISHER 4th Cent. Mom.0.003129
FISHER beta 10.161321FISHER beta 22.321608
FISHER gamma 1-0.401648FISHER gamma 2-0.678392
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.796222FISHER Test 2-1.516932
FISHER Test 1 Probability0.071800FISHER Test 2 Probability0.128600
Pearson 2-0.644496
Yule using Quartile definition:
Weighted Average at Xnp
-0.372229
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.341863
Yule using Quartile definition:
Empirical Distribution Function
-0.372229
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.326368
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.309819
Yule using Quartile definition:
Closest Observation
-0.372229
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.309819
Yule using Quartile definition:
MS Excel (old versions)
-0.356401
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.406750Kurtosis (small sample)-0.655814
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.841509TEST 1 (small sample)-1.496164
TEST 1 Prob. (small sample)0.064400TEST 1 Prob. (small sample)0.133600
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4067000.064400Trim. Kurtosis (0/120)-0.6558000.133600
Trim. Skewness (1/120)-0.4387000.047800Trim. Kurtosis (1/120)-0.6305000.152800
Trim. Skewness (2/120)-0.4757000.034000Trim. Kurtosis (2/120)-0.6078000.170600
Trim. Skewness (3/120)-0.5096000.023800Trim. Kurtosis (3/120)-0.5778000.197000
Trim. Skewness (4/120)-0.5516000.015600Trim. Kurtosis (4/120)-0.5473000.226200
Trim. Skewness (5/120)-0.6006000.009000Trim. Kurtosis (5/120)-0.5188000.254200
Trim. Skewness (6/120)-0.6260000.007000Trim. Kurtosis (6/120)-0.4682000.307800
Trim. Skewness (7/120)-0.6536000.005200Trim. Kurtosis (7/120)-0.4108000.373400
Trim. Skewness (8/120)-0.6799000.004000Trim. Kurtosis (8/120)-0.3486000.453200
Trim. Skewness (9/120)-0.7061000.003000Trim. Kurtosis (9/120)-0.2823000.548400
Trim. Skewness (10/120)-0.7345000.002200Trim. Kurtosis (10/120)-0.2114000.652800
Trim. Skewness (11/120)-0.7634000.001600Trim. Kurtosis (11/120)-0.1402000.764200
Trim. Skewness (12/120)-0.7927000.001200Trim. Kurtosis (12/120)-0.0638000.888600
Trim. Skewness (13/120)-0.8227000.001000Trim. Kurtosis (13/120)0.0141000.976000
Trim. Skewness (14/120)-0.8578000.000600Trim. Kurtosis (14/120)0.0945000.849200
Trim. Skewness (15/120)-0.8812000.000600Trim. Kurtosis (15/120)0.1739000.726400
Trim. Skewness (16/120)-0.8957000.000400Trim. Kurtosis (16/120)0.2385000.638400
Trim. Skewness (17/120)-0.9097000.000400Trim. Kurtosis (17/120)0.2897000.568600
Trim. Skewness (18/120)-0.9169000.000400Trim. Kurtosis (18/120)0.3075000.548400
Trim. Skewness (19/120)-0.9193000.000600Trim. Kurtosis (19/120)0.3346000.522200
Trim. Skewness (20/120)-0.9246000.000600Trim. Kurtosis (20/120)0.3799000.471600
Trim. Skewness (21/120)-0.9366000.000600Trim. Kurtosis (21/120)0.4793000.368200
Trim. Skewness (22/120)-0.9416000.000600Trim. Kurtosis (22/120)0.5509000.307800
Trim. Skewness (23/120)-0.9025000.001200Trim. Kurtosis (23/120)0.5245000.337000
Trim. Skewness (24/120)-0.8442000.002800Trim. Kurtosis (24/120)0.4353000.435400
Trim. Skewness (25/120)-0.7493000.008800Trim. Kurtosis (25/120)0.2077000.711400
Trim. Skewness (26/120)-0.6304000.030000Trim. Kurtosis (26/120)-0.1258000.825800
Trim. Skewness (27/120)-0.5856000.046600Trim. Kurtosis (27/120)-0.1802000.756600
Trim. Skewness (28/120)-0.5429000.068800Trim. Kurtosis (28/120)-0.2088000.718800
Trim. Skewness (29/120)-0.4722000.118800Trim. Kurtosis (29/120)-0.3362000.568600
Trim. Skewness (30/120)-0.3434000.262800Trim. Kurtosis (30/120)-0.6449000.289200
Trim. Skewness (31/120)-0.2739000.378800Trim. Kurtosis (31/120)-0.7716000.211200
Trim. Skewness (32/120)-0.1931000.541800Trim. Kurtosis (32/120)-0.9571000.126000
Trim. Skewness (33/120)-0.1388000.667200Trim. Kurtosis (33/120)-1.1250000.076800
Trim. Skewness (34/120)-0.1229000.704000Trim. Kurtosis (34/120)-1.1675000.071800
Trim. Skewness (35/120)-0.1041000.756600Trim. Kurtosis (35/120)-1.1768000.075000
Trim. Skewness (36/120)-0.0842000.802600Trim. Kurtosis (36/120)-1.2045000.073400
Trim. Skewness (37/120)-0.0463000.888600Trim. Kurtosis (37/120)-1.2750000.062800
Trim. Skewness (38/120)-0.0267000.936200Trim. Kurtosis (38/120)-1.3350000.056200
Trim. Skewness (39/120)-0.0272000.936200Trim. Kurtosis (39/120)-1.3991000.050000
Trim. Skewness (40/120)-0.0320000.928200Trim. Kurtosis (40/120)-1.4122000.053600
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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